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Finding the Third Proportional to 233,893.50 and 483,832.50

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Solution

The third proportional to 233,893.50 and 483,832.50 is: 1,000,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,893.50 : 483,832.50 = 483,832.50 : x
  2. Step 2: Convert to fraction form
    233,893.50/483,832.50 = 483,832.50/x
  3. Step 3: Cross multiply
    233,893.50x = 483,832.50 × 483,832.50
  4. Step 4: Simplify right side
    233,893.50x = 234,093,888,056.25
  5. Step 5: Solve for x
    x = 234,093,888,056.25/233,893.50
  6. Step 6: Final answer
    x = 1,000,856.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.